How would you solve this step by step? Traumatic brain injury such as concussion

Question

How would you solve this step by step?

Traumatic brain injury such as concussion results when the head undergoes a very large acceleration. Generally, an acceleration less than 800 m/s2 lastin time will not case injury, whereas an acceleration greater than 1000 m/s2 lasting for at least 1 ms will cause injury. Suppose a small child rolls off a bed above the floor. If the floor is hardwood, the child's head is brought to rest in approximately 2.0 mm. If the floor is carpeted, this stopping distance is in 1.2 cm. Calculate the magnitude and duration of the deceleration in both cases, to determine the risk of injury. Assume the child remains horizontal during floor. Note that a more complicated fail could result in a head velocity greater or less than the speed you calculate. Hardwood floor duration ms carpeted floor magnitude m/s2 carpeted floor duration ms

Explanation / Answer

velocity during impact

v^2=2gh

v=sqrt(2*9.8*0.43)=2.903m/s

in case 1

acceleration = (2.903)^2/2*(0.002)

=2107 m/s^2

time= 2.903/2107=1.37ms

b)acceleration = 2.903^2/2*(0.012)=351.14 m/s^2

time = 2.903/351.14 = 8.267ms

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.